Study of the fully frustrated clock model using the Wang-Landau algorithm

Tasrief Surungan, Yutaka Okabe, Yusuke Tomita

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19 Citations (Scopus)


Monte Carlo simulations using the newly proposed Wang-Landau algorithm together with the broad histogram relation are performed to study the antiferromagnetic six-state clock model on the triangular lattice, which is fully frustrated. We confirm the existence of the magnetic ordering belonging to the Kosterlitz-Thouless (KT)-type phase transition followed by the chiral ordering which occurs at slightly higher temperature. We also observe the lower temperature phase transition of KT type due to the discrete symmetry of the clock model. By using the finite-size scaling analysis, the higher KT temperature T2 and the chiral critical temperature Tcare respectively estimated as T2 = 0.5154(8) and Tc= 0.5194(4). The results are in favour of the double transition scenario. The lower KT temperature is estimated as T1 = 0.496(2). Two decay exponents of KT transitions corresponding to the higher and lower temperatures are respectively estimated as η2 = 0.25(1) and η1 = 0.13(1), which suggests that the exponents associated with the KT transitions are universal even for the frustrated model.

Original languageEnglish
Pages (from-to)4219-4230
Number of pages12
JournalJournal of Physics A: Mathematical and General
Issue number14
Publication statusPublished - 2004 Apr 9
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy


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